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AP Physics 2
14.9 Thin-Film Interference
BeginnerMCQMathematical17.7k
A horizontal layered diagram showing three distinct regions. The top region represents air with index of refraction n_air = 1.0. The middle layer of thickness t represents the coating with index of refraction n_c. The bottom region represents the glass lens substrate with index of refraction n_g, satisfying 1.0 < n_c < n_g. A downward vertical arrow labeled lambda enters from the air region, hitting the top boundary of the coating layer. Two small reflected arrows point upward, one originating at the air-coating interface and the second originating at the coating-glass interface. No other labels, lines, text, or axes appear.
Light incident normally on a thin coating of index \(n_c\) on a glass lens of index \(n_g\).
A camera lens made of glass with index of refraction \(n_g\) is coated with a thin layer of transparent material with index of refraction \(n_c\), where \(1.0 < n_c < n_g\). Monochromatic light of wavelength \(\lambda\) in air is incident perpendicular to the surface of the coated lens. Which of the following expressions represents the minimum non-zero thickness \(t\) of the coating that minimizes the intensity of the reflected light?

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